When Euler set x equal to p, this equation made it easy to calculate the value of e ip. The cosine of p equals –1, and the sine of p equals 0. So e in = (–1) + i (0).

The Euler and Navier-Stokes equations form the cornerstone of fluid dynamics, governing the motion of fluids under a wide range of conditions. ... and energy dissipation.

The compressible Euler equations form the cornerstone of fluid dynamics, describing the conservation of mass, momentum and energy in a compressible fluid. When augmented by damping effects, these ...